**4. A person is riding a Ferris wheel. Their height above ground \( t \) minutes after the ride begins is given by:**\[ h(t) = 200 \sin(2t) + 205. \]**4.1. What is the period, the time it takes to come back to the same height?****4.2. What is the highest the person gets?****4.3. How fast is their height changing 1 minute after the ride begins?**

Name: **4. A person is riding a Ferris wheel. Their height above ground \(
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: **4. A person is riding a Ferris wheel. Their height above ground \( t \) minutes after the ride begins is given by:**\[ h(t) = 200 \sin(2t) + 205. \]**4.1. What is the period, the time it takes to come back to the same height?****4.2. What is the h

Given function is h(t)=200sin(2t)+205where h(t) is the height and t is the time in minutes we know that period =2π|b| from the given function h(t) the value of b=2 period =2π|b|=2π2=π The period it takes to come back to the same height is π h(t)=200sin(2t)+205where h(t) is the height and t is the time in minutes Graph the given equation h(t) using calculator From the graph we can see that the maximum height of the wheel it reaches is 405 feet the height the person gets is 405 feet For part (c) we need to find the height when t= 1 minute h(t)=200sin(2t)+205h(1)=200sin2+205h(1)=386.85948387 feet After the ride begins the height of the wheel after 1 minute is 387 feet